1147478009616 has 405 divisors, whose sum is σ = 3509587544671. Its totient is φ = 349915213824.

The previous prime is 1147478009611. The next prime is 1147478009617. The reversal of 1147478009616 is 6169008747411.

The square root of 1147478009616 is 1071204.

It is a perfect power (a square), and thus also a powerful number.

1147478009616 is a `hidden beast` number, since 1 + 1 + 474 + 7 + 80 + 0 + 96 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1516323600 + 1145961686016 = 38940^2 + 1070496^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1147478009611) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12893011300 + ... + 12893011388.

Almost surely, 2^{1147478009616} is an apocalyptic number.

1147478009616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1147478009616 is the 1071204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1147478009616

1147478009616 is an abundant number, since it is smaller than the sum of its proper divisors (2362109535055).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1147478009616 is an equidigital number, since it uses as much as digits as its factorization.

1147478009616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 1147478009616 in words is "one trillion, one hundred forty-seven billion, four hundred seventy-eight million, nine thousand, six hundred sixteen".